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Statements

Subject Item
dbr:Trigonometric_moment_problem
rdfs:label
Trigonometric moment problem
rdfs:comment
In mathematics, the trigonometric moment problem is formulated as follows: given a finite sequence {α0, ... αn }, does there exist a positive Borel measure μ on the interval [0, 2π] such that In other words, an affirmative answer to the problems means that {α0, ... αn } are the first n + 1 Fourier coefficients of some positive Borel measure μ on [0, 2π].
dcterms:subject
dbc:Measure_theory dbc:Functional_analysis dbc:Probability_problems
dbo:wikiPageID
11034989
dbo:wikiPageRevisionID
856903852
dbo:wikiPageWikiLink
dbr:Mathematics dbc:Functional_analysis dbr:Borel_measure dbr:Hilbert_space dbr:Toeplitz_matrix dbr:Moment_problem dbc:Measure_theory dbr:Sesquilinear dbr:Unitary_operator dbc:Probability_problems dbr:Positive-semidefinite_matrix dbr:Spectral_theorem dbr:Partial_isometry
owl:sameAs
n7:4wqSL wikidata:Q7841830 freebase:m.02qys0k yago-res:Trigonometric_moment_problem
dbo:abstract
In mathematics, the trigonometric moment problem is formulated as follows: given a finite sequence {α0, ... αn }, does there exist a positive Borel measure μ on the interval [0, 2π] such that In other words, an affirmative answer to the problems means that {α0, ... αn } are the first n + 1 Fourier coefficients of some positive Borel measure μ on [0, 2π].
prov:wasDerivedFrom
wikipedia-en:Trigonometric_moment_problem?oldid=856903852&ns=0
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4034
foaf:isPrimaryTopicOf
wikipedia-en:Trigonometric_moment_problem